A property of sequential control processes
ResearchPublished 1966
ResearchPublished 1966
An observation of a discrete time Markov control process having a finite number of states and possible decisions. Derman (Ann. Math. Stat., 35, 1964) has shown that, for criteria involving limiting average probabilities of visits to state-decision pairs, we need only consider initial randomizations of nonrandom stationary rules. It is shown that there is a rule which induces the same probability on the precess as any initial randomization; hence nothing new is introduced by initial randomization. An observation of a discrete time Markov control process having a finite number of states and possible decisions. Derman (Ann. Math. Stat., 35, 1964) has shown that, for criteria involving limiting average probabilities of visits to state-decision pairs, we need only consider initial randomizations of nonrandom stationary rules. It is shown that there is a rule which induces the same probability on the process as any initial randomization; hence nothing new is introduced by initial randomization. 15 pp.
This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included working papers meant to report current results of RAND research to appropriate audiences.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.